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Simplifying 3x + 5 + -8(x + 1) = 4x + 2 Reorder the terms: 3x + 5 + -8(1 + x) = 4x + 2 3x + 5 + (1 * -8 + x * -8) = 4x + 2 3x + 5 + (-8 + -8x) = 4x + 2 Reorder the terms: 5 + -8 + 3x + -8x = 4x + 2 Combine like terms: 5 + -8 = -3 -3 + 3x + -8x = 4x + 2 Combine like terms: 3x + -8x = -5x -3 + -5x = 4x + 2 Reorder the terms: -3 + -5x = 2 + 4x Solving -3 + -5x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -5x + -4x = 2 + 4x + -4x Combine like terms: -5x + -4x = -9x -3 + -9x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -9x = 2 + 0 -3 + -9x = 2 Add '3' to each side of the equation. -3 + 3 + -9x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 2 + 3 -9x = 2 + 3 Combine like terms: 2 + 3 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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